An integral characterization of Hajlasz-Sobolev space
Troyanov, Marc; Gol'dshtein, Vladimir
2001

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Abstract

We prove that the pointwise inequality used by P. Hajlasz in his definition of Sobolev spaces on metric spaces is equivalent to an integral (Poincaré-type) inequality.

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Title An integral characterization of Hajlasz-Sobolev space
Author(s) Troyanov, Marc ; Gol'dshtein, Vladimir
Published in C. R. Acad. Sci. Paris Sér. I Math.
Volume 333
Issue 5
Pages 445-450
Date 2001
Keywords
DOI https://doi.org/10.1016/S0764-4442(01)02088-2
Other identifier(s) DAR: 1600
View record in Web of Science
Laboratories GR-TR
Record Appears in Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > GR-TR - Troyanov Group
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date 2007-12-17

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